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Finding the Third Proportional to 442.97 and 628.73

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Solution

The third proportional to 442.97 and 628.73 is: 892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.97 : 628.73 = 628.73 : x
  2. Step 2: Convert to fraction form
    442.97/628.73 = 628.73/x
  3. Step 3: Cross multiply
    442.97x = 628.73 × 628.73
  4. Step 4: Simplify right side
    442.97x = 395,306.91
  5. Step 5: Solve for x
    x = 395,306.91/442.97
  6. Step 6: Final answer
    x = 892.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.